Simplify Square Root of 39719

What is the square root of 39719 in its simplest radical form? To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

√39719 = A√B

Unfortunately, the square root of 39719 cannot be simplified. Thus, here is the answer to the square root of 39719 in its simplest form:

√ 39719 = √ 39719

Here are two different methods we used to determine why the square root of 39719 cannot be simplified.

1) To be able to simplify the square root of 39719, one of the factors of 39719 other than 1 must be a perfect square. The factors of 39719 are 1 and 39719. Since none of these factors are perfect squares, the square root of 39719 cannot be simplified.

2) To be able to simplify the square root of 39719, all the prime factors of 39719 cannot be unique. When we did prime factorization of 39719, we found that 39719 equals 39719. Since all the prime factors are unique, the square root of 39719 cannot be simplified.

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